10679 divided by 9 
Let's see how many times 9 fits into 10679.

Moving on to step 1:
9 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 9

Let's proceed to step 2:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 9 from 10, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 9

Advancing to step 3:
When dividing 16 by 9, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 9 from 16 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 9

Step 4:
When dividing 77 by 9, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
If we take 72 away from 77, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Going ahead to step 5:
When dividing 59 by 9, we get 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 1186.0
Subtract 54 from 59 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
50 divided by 9 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1186.5
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
9 goes into 50 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1186.55
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 1186.55 and a remainder of 0.005.